Jawi and Jawa are two different things.
According to a close friend of mine (who is a malay), Jawa is a
dialect of the Indonesian Language; totally different then the
original malay language, both in the way its written and
spoken.
Whereas Jawi is actually a form of writing which is a little
similar to Arabic, but when it is spoken its actually spoken in
normal Malay language.
Confusing?
Maybe a malay fella can explain better.. 
