welcome aboard LasVegas325!!

B)
i don't think the alarm system would drain your battery that quick. here are some possible problems if your battery is fairly new:
1) short circuit draining battery
corrective action: test for excessive current drain with everything electrical off.
2) short driving trips and high electrical drain on charging system does not allow battery to recharge.
corrective action: evaluate driving style. where possible, reduce electrical consumption when making short trips.
3) drive belt(s) worn or damaged
corrective action: inspect or replace multi-ribbed belt(s).
4) battery faulty
corrective action: test battery and replace if necessary.
5) battery cables loose, dirty or corroded
corrective action: clean or replace cables.
6) alternator or voltage regulator faulty
corrective action: test alternator and voltage regulator.