Data normalisation into third normal form

Question

I have done data normalization on dummy data and would like to know if I did it correctly. If it is done correctly, I would also like to ask two things below, because it is about 3NF.

1NF: This table should be 1NF.

userId	userName	keyNumber	keyCode	accessGroup	doors
1	Alice	1	1	1	1
1	Alice	1	1	1	2
1	Alice	1	1	1	3
2	Bob	2	2	2	1
2	Bob	2	2	2	2
3	Alice	3	3	2	1
3	Alice	3	3	2	2

2NF: I selected composite key (userID and Doors) as they represent minimal candidate key and got three tables applying FD rule.

Primary_key: userID

userId	userName	keyNumber	keyCode	accessGroup

Primary_key: doors

doors

Primary_key: (userid, doors)

userId	doors

3NF: Applying the rule of transitive dependency on 1st table in 2NF, I got out 4 tables (showing only first two, because the last two remain unchanged)

Primary_key: userID

userId	userName

Primary_key: keyNumber

keyNumber	keyCode	accessGroup
1	1	1
2	2	2
3	3	2

Questions:

1. Is this database normalisation correct? If not could you point me where I did mistake?
2. If answer on first question is True: Should the last table in 3NF be transformed into two tables, given it is not in correct Third normal form. Two non-key atributes have FD keycode -> accessGroup