yes, antennas in the near field will have an effect on the radiation pattern of your antenna.
if you google "beam antennna", and find a tutorial that explains how they work, you will come across a term called "parasitic element", and, in its simplest form, thats what the "other" antenna is. sort of...
suffice to say that you should keep them as far apart as you can, but many people run more than one antenna on their vehicle, so its not a make or break type situation.
do some reading on this subject and you will understand how much or how little you should be concerned about their interaction.
on the second question, its probably dirt and other build up in the switch that is inside the mic.
get some contact cleaner, open up the mic, and spray some into the switch.
sometimes it helps to hold the switch in the TX position when spraying.
then push the button back and forth a bunch of times to get the cleaner all over the parts of the switch that need it.
you can also do this to the pots on the front of your radio.
you'll need to get at the backside of them, and spray inside the pot itself.
then turn the knobs back and forth a bunch.
if the mic switch is not the cause, it could be the mic gain pot on the radio.
there are other possibilities, like a cap going bad, but these two are the first places to try.
LC