Not sure I understand the question....compatible with what? Your transducer and GPS antenna?
I looked up the GP1610 and see it has a built in 300 watt sounder....your transducer is most likely an airmar with a furuno 10-pin connector...which should work with any furuno product....the trick will be finding a 300 watt sounder unit. To find out compatibility you should look at your transducer and figure out the make and model, which will help with compatibility....I'm no furuno expert, but I think the newer 1710 VX2 is the only current unit similar to what you have, and that requires a black box (separate unit) sounder...its not built in and it is 600 watts, so I don't know if it'll work with your transducer.
The GPS antenna is I think the same.....and should work on newer VX2 stuff.
I have a Furuno VX1 plotter/radar and use it now as standalone radar. I upgraded to a Raymarine C90W for sounder and plotter.
What type of charts does your plotter take? Cmap or Navionics? You very well may be able to find them used.....before you buy or sell anything, my recommendation is to first do this:
FIRST - CALL FURUNO CUSTOMER SERVICE. While I went with Raymarine, Furuno has the best customer service in the world. A human always answers the phone, and they will talk to you and give you advice, regardless of whether your product is "registered" or you're the 15th owner...just call them up and tell them what you've got and they'll trouble shoot with you and help you get what you need.
SECOND - Call MEOB - marine electronics of the outer banks....this place is one of the only places in the country that Furuno tells customers to go to for good condition used stuff. This guy buys and sells used furuno stuff, so if you want to upgrade, he may even buy your plotter.
http://www.meob.com/ I almost traded in my VX1 for a VX2 plotter, but decided to go with Raymarine (wanted bigger and faster plotting, but didn't want to pay for a NavNet 3d...)
Hope this helps...and good luck!