walk on both legs

do your best in the current job, and also send your resume all over the place.

have you been with this employer for 5.5 years? If an employer has the policy of only petitioning GC for H1B holders when their H1Bs are about to run out, what a f--- company is it? Isn't it clear what its culture is and how the management views foreign born workers? And why in the world you stayed there for so long?