Use the 710, that reel caught the record striper. Get a 9 foot Tica or Daiwa rod, some 14# Fireline, a plug bag and a light. If you have any money left buy some sluggos.
Go fishing, not equipment collecting, you don't know what you want yet.
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Good suggestion above. So long as the 710 is working well now, I would stop shopping for reels.
Sounds like you would be best suited to dusk and dawn fishing until you are completely familiarized with your stuff and can do it with your eyes closed - I would not fish the rocks at night until you can afford Korkers. Beavertail is a very tackle-hungry (expensive) place for beginners to fish - you get a lot of hang-ups.
Some sluggos, a couple of small bucktail jigs and a Super Strike Popper in Chartreuse/White, a cheapo bag and a light.