Nope, you can fire the aim-9 without dogfight mode also.
F-16 does not use bombable and it might interfere with the F-16 damage and weapon system. I recommend you uninstall it, unless you really need it.
Your bug report is a bit vague.
- What do you mean by track? That the missile just flies straight? Or that you get no tone change?
- It can lock on you say? Do you mean the radar can lock on to the target or the sidewinder can? The sidewinder lock is a big diamond, and the radar lock is a big square. If the diamond is small, it means it has not got a lock.
Did you remember to cool the sidewinders? That can be done from the SMS page on the MFDs. Cooled you can lock farther targets, although that really only is useful for head-on engagements, for trail shots don't fire too far away.
This is what I recommend you do: Download the f16 from our github (if you haven't already) and use that instead of the FGAddon version from the launcher. Then you also get a almost up-to-date manual:
https://github.com/NikolaiVChr/f16/wikiFor your issue I recommend reading all the pages inside the Combat page of that manual.