1- does the armor effect of braces of armor stack with the enhancment effect of an armour? (following the example below, would the PG have a total armour bonus of +9?)
No. Magic armor and bracers of armor each provide armor bonuses to AC, and typed bonuses do not stack with other bonuses of the same type. So a +1 chain shirt’s +5 armor bonus to AC would not stack with a bracers of armor +3’s +3 armor bonus to AC: you would only add the +5 armor bonus to your AC if you wore both of these items. (There is a slight benefit in that incorporeal touch attacks would ignore the +5 but could not ignore the +3, so wearing both would allow you to get the +5 against most foes but also get +3 against incorporeal attacks instead of +0. This is not generally considered worthwhile; if your campaign has that many incorporeal enemies, get ghost touch, it’s better and cheaper.)
Note that a +1 chain shirt gives a +5 armor bonus to AC. It does not give a +4 armor bonus to AC plus a +1 enhancement bonus to AC. Rather, it has a +1 enhancement bonus—to its own armor bonus that it applies to the wearer’s AC.
2- (following the example below) can I use the special abilities of the armour if I also use braces of armour?
Yes, you can, but this is very unlikely to be cost effective, since your bracers of armor need to overcome the basic armor bonus of the armor plus the mandatory +1 enhancement before it can provide any benefit, and that is immensely expensive.
A better approach, if allowed, is to put the armor properties on the bracers of armor. The 3.0e supplement Arms & Equipment Guide allowed this, but it is unclear if those rules are legit in 3.5e (strictly speaking, there may even be questions about them in 3.0).
An even better approach is to just ignore armored AC. It’s the worst defense in the game; take your +1 chain shirt and then just stop caring about AC. You want special armor properties. You might still want to use the bracers of armor for even more special properties, but not for AC.