The Mosquito wasn’t great shakes as a dayfighter. Sure, it made some kills, but that was more being in the right place at the right time and having something stumble across the gunsights.
According to the AFDU tactical trials, the FB Mk VI’s controls were very heavy at 3G and above, detracting from its general performance as a fighter. Even a single-seat lightened version (-1500 lb) without the elevator weight wasn’t really considered that good against S/E fighters.
In trials vs the Spitfire V, IX and XII and Typhoon, it was found that all the single-engine fighters could throw the Mosquito off their tails, with the exception of a Typhoon handled by an inexperienced pilot. The Mosquito however was unable to disengage S/E opposition using turns or climbs.
However, there were a couple of points in the Mosquito’s favour. It was generally considered to be a very difficult target for fighters and at medium altitudes, it was found to have better initial level acceleration and dive acceleration than the single engine fighters.
The general conclusion was that the Mosquito was unable to go on the offensive against S/E fighters and it was limited to making itself as difficult a target as possible.
On the general behaviour of the Mosquito, most of the pilots reports I've read indicate that it was a comparatively nice bird to fly, with well balanced controls and few bad manners with its handling.
Single-engine flying was poor in the early marks, I think purely due to a lack of power combined with a high stall speed. Stall behaviour, even with a single engine, was relatively benign from what I've read, with a pronounced buffet and 'mush' period prior to full onset.