Like said the radio may need a recapping and a fresh alignment and tune. Get rid of all those old caps and get some new ones put in. The ones in the radio are almost 25 yrs old. Pretty old.
And about the antenna, that is up to you in the end whether to replace it. It might not look at all damaged, but can you verify what the inside looks like after all this time? And your coax as well? At the age it's at I am suprised it's holding up. Unless it to was stored away properly. Most rg8x, the grey type anyway, doesn't last many years in the FL heat and weather anyways. Best to get some good double shielded coax like LMR240, or LMR400, or even good rg8x that is black and is double shielded and is well made. And last but not least, check all your connectors. You may have had or have some water damage or coax issues if your meter is jumping all about. Check all coax connections, at antenna, radio, and also any coax jumpers that may be being used. But if it were me, I would not keep tx'ing at this point if you want to keep your radio alive. Find that issue and resolve it!! Gotta start at one end or the other. Best bet would be at the antenna first. JMHO about that. Hope you get it all figured out. It is not a real good time to be getting back into the hobby I suppose as most of the DX is dead!! It's very sporadic to say the least here around east coast of FL. But don't let that stop you. There are times that it does get active. And there are always locals if you have any. But getting that antenna up as high as possible is going to help a lot. 35ft or more and it will work well for you. Good luck and be safe.