First for the tire....take it off the car and submerge in a
pool....give a quick shake to make sure all air is off the
tire (personal recommendation, not required), watch
for air bubbles, mark leak....2nd, after confirming that
nothing shook loose mechanically and electronically, I
would look at the lock actuators and make sure they're
getting power. If not, I'd look for a damaged wire (start
at the door hinges) the fact that they went out at
different times tells me it wasn't a fuse, considering
the front ones still work....if you're getting power, keep
the panel off and watch the actuator as you hit the lock
switch a weak actuator will only partly move (but not
enough to perform the task) if it's dead, it won't move
at all