So if I've read the history right...
3 weeks ago you purchased 30 head of recently weaned, mixed lot, 300-400 lb calves from 3 sources through the sale barn. They were vaccinated (same day?) with Bovishield Gold. No antibiotic at processing.
2 weeks after that (1 week ago) you pulled two calves and treated with LA200.
2 days later (5 days ago) you repulled those calves and treated with Nuflor/Banamine.
The (same?) calves were next treated (when?) with Draxxin.
One calf (treated or not treated?) died 2 days ago.
Who else died and when? were they treated prior to death?
Have you treated the rest of the group with antibiotics?
What kind of pasture/pen are these calves in? Estimate of bunk space/hd, pen dimensions and head in the pen? Bunk space and square feet per animal are important and will influence disease incidence.
3 calves dead of 30 is a 10% mortality at 21 days on feed.
How many have been treated?
Real quick... no dexamethasone. It's a corticosteroid and does have anti-inflammatory properties but it's also an immunosuppressant and not a good idea for these calves. Banamine is an NSAID and is fine to use, but there's no difference in case fatality with or without banamine.
Draxxin is excellent. Baytril would be another good antibiotic option. Micotil is good too if you're willing to deal with the human health risks (don't inject yourself!). At the end of the day antibiotic choices aren't as important as management of the cattle however.
Implement a moratorium - treatment interval - 3 days is pretty standard. Wait that length of time in between treatments regardless of how the calf/calves look. Doesn't do you any good to treat calves as they're dying and it's a waste of money.
Temp and treat. Normal is about 102F. Some places use cheaper drugs (e.g. LA200) on low/normal temps if they look sick, and the expensive stuff on the hot cattle (over 104 or 105 depending on who you talk to).
Mark all calves (ear tag, hip paint, written record of temp, drug, date, calf ID) that are treated. 3 treatments and generally you should call them a chronic and stop treating. About 50% of your chronics will recover eventually with time and good management. The rest will die or need to be euthanized with about a 30 day lag time between first treatment and death. Chronics are usually <50% of the total deads (but I've seen down to 10-15% on the big well managed yards). On high risk calves it can be 100% or more of deads (e.g. same number of chronics as deads in the group).
Treat and put them back with the group.
First treatment success (not retreated within 14-21 days of first treatment) is typically 75-80% - in other words, 75-80% of the calves you treat the first time will not need to be retreated. 20-25% of the calves will need a second treatment within 14 days and you should watch the pen closely for them. Second treatment success rate should be about 55-60%. Too high and you're pulling too many, too low and you're not treating aggressively enough. High risk calves will typically be on the low end of those numbers (or more), low risk (backgrounded, vaccinated, yearlings, single source) will be on the high end of those numbers. I'm looking through some lots right now and at close out (shipping to slaughter) the range was 47-92% for first treatment success.
First 30 days on feed are the most important but keep a close eye on these guys out to 60 days. I'd walk the pen daily, pull anything with drooping ears, lowered head, not coming up on feed, not alert. You need pictures or videos of sick cattle I can probably find some I have permission to share. Just let me know.
Decent feed at the same time of day, no fluctuations in grain amount, and clean water are all important for these calves. Poor feed or nutritional management can "put all your calves in the hospital."
Most pneumonias start as a viral infection which sets the calves up (mucosal membrane damage) for bacterial invasion. Bacteria in the lungs would be an expected finding. The type of bacteria is pretty much irrelevant unless mycoplasma. If they have abscesses or lungs are adhered to each other or the ribs, the infection has been brewing awhile - that's chronic - either before you purchased or in the 3 weeks since purchase.
These are ultra-high risk calves based on their history at purchase. (Lightweight, multiple source, sale barn origin, not backgrounded, etc.) You were looking at a >10% morbidity (first pull treatment) just with their history. Chances are you'll have a >50% morbidity by the time you're done. Case fatality rate is the number of deads divided by the number of calves treated for the first time - the goal is 5-10%. Too low and you're treating too many, too high and you're not pulling enough. I'd suspect you'll be taking a 20% case fatality by 60-90 days on feed. (50% of 30 = 15, 20% of 15 = 6 dead of treated, plus any "pen deads" that weren't treated.) You've probably got quite a few sick calves in there that have been hiding it for several weeks and that's going to increase the typical numbers.
If you have the facilities for it I'd run the entire group through the chute, treat with Draxxin, wait at least three days (Draxxin usually gets a 7-14 day moratorium but I don't think it's appropriate for these calves) and repull aggressively as needed with Baytril for a second treatment. It's not cheap but is proven to decrease the case fatality rate, pen deads, and chronics. As pricey as calves are now, keeping those extra calves alive will pay for the drugs. My thoughts based on the info I have from you at the moment.
Probably not what you wanted to hear. Let me know if you have questions. I'm a 4th year DVM student expecting to go into feedlot medicine; just finished with 2 weeks on a 38,000 head yard, worked last summer on a 40,000 head yard, and I've rubbed shoulders with a few important people. I'm not ready to play with the big dogs yet, but I think - and the folks who pay me think - I'm fairly savvy. Good luck with the remaining calves, feel free to ask (non-urgent) questions at any point.