No it's not the fuel pump, it's your fuel filter it's clogged up.
i hope ur problems has already been resolved i have similar like problem in my coure which rectify after tyre replacementif tyre has some blaoning, bump or one more torne out than other
buy toyota corolla 2009 or cultus 0 meter which is better in running & suspension i think pakwheels can help me better thnxz......
check tyres, they might be bubbling