Try 18-20 psi on the front & 24-26 on the rear. It should make for a better ride with better control.
Avon actually recommend 27F/29R +2 for pillion and +2 for extra luggage
With only 18psi in the front the tyre will try to roll off the rim and feel like you are riding on a flat..
The oem tyres on the (export) in the UK are Avon Roadrider (AM26) which have excellent grip and road holding in the wet. Mitas I'm afraid are a rather cheap brand.
The pressures given in the RE handbook seem to be for the old crossply tyres used years ago, quite dangerous.
The wobbly sensation at the front most likely down to wrong (low) tyre pressure - or the Mitas tyres.
Skidmasters (SM) are called that for good reason, avoid. Pirelli have zero wet grip.
The 'new' straight front forks are quite different to the old 'bent' ones, they have progressive springing and better damping. The rake/trail is different but the steering angle has been compensated to place the wheel at about the same distance out. The Bullet and Classic frames are not the same here because the Bullet as a larger rear wheel. Both models have relaxed steering geometry which makes the bike want to go in a straight like, the opposite of a very 'pointy' race bike.