I am getting back into Ham radio after a 12 year absence. Having fun studying for my General, have made a few contacts on my old rigs. My question is rather simple. I have several HT antennas (actually

, several mobile antennas with magnetic mounts, a diamond X-50, and a butternut HF antenna (never used). The Diamond was kept outside and may have gotten some water in the coax which was just cut off years ago when I had to move. I really want to know how good these antennas are and if they should work on the desired frequencies. I have a SWR meter somewhere in the basement, but am wondering in this digital age, if I should invest in an antenna analyzer to help sort this out. In addition to the antennas, I also want to make sure the old coax (and connectors) I am using is still good.
1) Should I buy an antenna analyzer or use another device to check the antennas? If so, which one? I can afford a couple of hundred dollars, but wonder if the expensive MFJ models will really help me in the long run.
2) What would be a good resource (book, internet site, article, etc) that would walk me through what steps to perform?