Your trailer currently loaded is 8,180# (7060# + 1120#) of that, it's the 1120# on the tongue for 13.7% on the total trailer weight. Prudence looks for 10% to 15% in my opinion you are ok from that perspective.
If trailer weight stayed the same but you were able to reduce tongue weight to 950 the percentage drops to 11.6% and I still think you're ok. To accomplish the reduction, you could add a receiver hitch on the back plus something like a bike rack or such. Move some chairs or stuff from the front onto that back storage. Most trays are designed to carry 300#, and you only need to move 170# or so. This would take care of your tongue weight issue.
As to the drive axle, based on my 3 years with the Andersen, moving 140# forward is about all you will ever get, even if you move weight back to the trailer. However, if you level out with airbags or something like the Roadmaster (Roadmaster Active Suspension Kits | Helper Springs | Overload Springs
) that will shift additional weight forward (and probably level out your headlights if you are towing at night).
Having said all this, I think you're so close that if it's towing ok, just do nothing. My old tow vehicle (Mercedes GL450) had a tongue weight of only 600# and I constantly kept agonizing over staying there (I did add a rear storage and that helped). The car had factory autolevel and the few times I let the tongue creep up to 800#, I never noticed any difference. Good Luck.