Well, as I can see my vote doesn't count now, but since you are in the middle of a war, how about some military guidance. Your forces are trying to stop some 32,000 russsians with how many of your men???.
I should suggest you to try and break first the siege then take them off your land and maybe kick them in their own territory, but Sweden never won outnumbering anybody. Sweden won because their leaders where hard to press back. So try to get them out of your contry first, then restructure your defences, get a good navy and began a guerrilla warfare. This will get you money, for good alliances.
Make a backup army far from the borders, difficult to see is difficult to handle. Then when you can get your borders expanded you can take this 'demanding force' to make your plee directly in Moscow or what ever other place you want to go.
Well I don't know much about this, but I think that is what I would do. Remember that everybody wants Sweden, specially your exboss Denmark, so watch your back.
Good Luck and have fun. Maybe you too could do a little private council from your readers!!!