TLDR: inverter OK (with caveats), batteries first timer go with AGM or LiFePo4 might or might not need heating pad depending upon battery type and location of battery box. Solar: 900 watts will be too small period. 1800 watts may or may not keep you happy. Your genset is probably 240 split phase, not 3 phase, most 3 phase is 208 from leg to neutral or leg to leg, split phase is 120 leg to neutral and 240 leg to leg.
first time working with batteries here are some issues you will run into.
flooded lead acid: if you do not have you charging parameters correct you will destroy them in a couple of months, so if this is a remote cabin that you only go to occasionally better off to start with AGM. (I have no experience with gel so no comments about them.)
as long as you can place them somewhere where it stays above freezing and your solar controller can be set to the batteries parameters expect 3-5 years use per set. I know some folks that tell of 10 years on them, heck I got 9 good years and limped on the 10th in my camper, but at my cabin I only got 3 and some change, and that was with experience from the camper.
when you jump up to a large AGM battery pack that is cycled daily getting them truly fully charged daily is difficult as they need a long absorb time= large PV solar array.
speaking of temps, if you have room under the house (sub basement or what not) then that's the perfect place for your batteries as a couple of feet below grade and the temperature really levels out. if not be prepared to make a box that is heavily insulated to trap heat in the winter. do that and you might not even need heating pads of any sort. I built a insulated power shed that held batteries, solar controllers and inverter and it rarely got below 4 or 5° C (40°F) even when it was -15°C (5°F) outside. biggest problem was I made it too large, if I had halved the size it would have stayed even warmer.
If you feel like experimenting a little bit LiFePo4 is the way to go at the moment when you balance out long term cost, longevity (cycle life) and power output. They will however need a heater pad and an insulated box as they are so efficient that they do not self heat at all. (plenty of plans, diagrams and mad scientist dreams floating on this here forum, so plenty of info, just need to do some sifting with the search button to find it.
inverter will work fine with these conditions:
Must have....a detailed installation manual that covers all adjustable settings? (need this to fine adjust battery charging portions).
Will 3500 watts be sufficient? (if free then this is a moot point you can live with a lot of things if its free. )
you will need more panels regardless. right now at this moment I am sitting at 3600' elevation it is early summer and we have cloud cover. with 4000 watts of PV currently installed (waiting to install next 4K of PV) It is an overcast day and I am getting about 20 amps of charge which is not quiet enough to offset what my split pack a/c, small chest freezer and small fridge are using. when the overcast is not here I see up to 50 amps of charge at the 54.4 setpoint for my lithiums. when its overcast like it is today...well you get what you get.
Regards, and best of luck!
Ken