Babisiliop,
There are two kinds of FAA certificates you can get. Under 61.75 you can get a FAA PVT cert with any types on your foreign license limited to VFR just by submitting paperwork. Any limitations on your foreign license apply to the FAA "based on" certificate. For example, German glider pilots are required to have a medical so a FAA 61.75 glider certificate would not be valid if the holder did not have a current German medical even though there is no requirement for FAA glider pilots to hold a medical.
To get any level cert above the PVT you have to get a "stand alone" certificate. A person may obtain a U.S. pilot certificate without relying on his/her foreign pilot license by accomplishing the required training, instructor endorsements, aeronautical experience, passing the appropriate knowledge test, and passing the appropriate practical test as required by the pilot certification requirements contained in part 61. Holding a JAA ATP allows you to skip getting a PVT which is normally required to get a Commercial and skip the COMM which is normally required to get an ATP.
To add a type to your ATP you'll need a Fed, a TCE can only give checks to pilots who complete the training centers training program. The training you did overseas for the type should count but you'll need the training records and who ever completed your training will have to sign the 8710 form, your application for the ATP.
There is no level 5 in FAA land, you are either English proficient or not. And if you're not you can't get the FAA certificate.