Keyless entry remote went out and more.....

[97camRS]

Yesterday all of a sudden my keyless entry remote died on me. I put a new battery in and that didn't help. There was all kinds of black $hit in there. Like some kind of black liquid stuff. I don't know much about electronics so not sure if that is from something inside going bad or what.
So that happened yesterday and then this morning when I pulled into work, I turned the key off and my radio cut off and there was no power (usually when you cut the key off with the doors closed the radio stays on and there is still power). All my radio presets were cleared out. I started the car up again and turned the key off and this time the radio stayed on. Could the keyless entry remote going out and the problem this morning be related?

I am going to check and be sure everything checks out around the battery and all on lunch, just incase.

[97camRS]

A little update:
Went out on lunch and all connections to battery were good. Stopped at Publix and turned the key off and lost power, waited a couple seconds and tried to turn the car on and nothing! No power anywhere. Went into publix, came out and the car started, rpms fluctuated for a couple seconds and then settled down, the gauge for the battery was jumping around also. I made it back to work fine. I am thinking it's just the battery. I will buy a new one tonight and hopefully that works.

If anyone thinks it's something else, please let me know.

[97camRS]

Battery was dead, bought a brand new Optima. Stupid keyless entry remote still doesn't work though.