Echoing the HP employee, submitting claims monthly for remote work expenses (phone/internet bills, office supplies, travel) is normal. Ive worked as an apps engineer at a couple BigCos with same policies and the process never bothered me, I submit my claims as soon as a trip ends or when I get the bills.

The thing I would press is to get paid fairly, and bi-weekly. I’ve never had a salaried job that was paid monthly.