Thank you very much David! Of course it helps
Concerning :
Reaction 2 : I changes the representation of the product. Is it correct now?
Reaction 4 : I wrote the last part, but it doesn't seem correct...
You're welcome. Regarding reaction 2, you should have two methoxy groups on the same carbon instead of one. Think about the mechanism: the carbonyl group is first protonated, and methanol attacks. Following loss of proton, you now have a hemiacetal, i.e., a carbon attached to -OH and -OMe. The -OH is protonated again, and can leave as water (-H2O), leaving behind a carbocation. This carbocation doesn't just "disappear" to give the product you drew, but instead can be attacked by another MeOH. What you can end up having is two methoxy groups on on carbon, or a dimethyl acetal.
For Reaction 4: the reagent in step 3, tetrabutyl ammonium fluoride (or TBAF), is a reagent that attacks silicon, and what you ended up having is the free enolate, and the byproduct is (Me3SiF). This is the same kind of enolate that you can generate simply by treating the starting cyclohexanone with LDA, but of course the countercation is different. The enolate can then attack MeI (step 4) and the product you get will be 2,5,5-trimethylcyclohexanone. Oh by the way, the first product you drew should have three methyl groups attached to silicon, not just one.