Almost entirely correct, HugMonster, except:
2. There is a requirement to complete some of the LST items and to carry out a certain number of take-offs and landings in the aircraft which is why you see BA pilot trainees doing circuits at Prestwick. The number of landings depends upon previous experience - 4 for the more experienced, 6 for the less. There are zero flight-time courses approved for some aircraft but only for pilots with considerable relevant experience. Also there are some (mainly older) aircraft for which an approved sim is not available (e.g. DC6, Electra) in which case all training is done on the aircraft.
6. You can be current on more than one type, many pilots are. The rules are laid down in Appendix 1 to JAR-OPS 1.980. In broad terms you can be current on multiple types as follows:
Single Pilot Aeroplanes
(i) Three piston engined aeroplane types or variants; or
(ii) Three turbo-propellor aeroplane types or variants; or
(iii) One turbo-propellor aeroplane type or variant and one piston engined aeroplane type or variant; or.
(vi) One turbo-propellor aeroplane type or variant and any aeroplane within a particular class.
Multi-Pilot Aeroplanes
(1) The minimum flight crew complement specified in the Operations Manual is the same for each type or variant to be operated; (i.e. you couldn't be current on both 747-400 [2 crew] and 747-200 [3 crew])
(2) A flight crew member does not operate more than two aeroplane types or variants for which a separate licence endorsement is required; (e.g. you could be current on A319/A320/A321 [one licence endorsement] and B757/B767 [one licence endorsement] and
(3) Only aeroplanes within one licence endorsement are flown in any one flight duty period unless the operator has established procedures to ensure adequate time for preparation.