Karen, are you bf & do you plan to continue doing it, because the only way you will be if you don't offer the bottle, (offering the bottle will prevent you from ever having enough milk as it is a supply & demand thing, you only produce more if your baby demands more) you may need to bf every 2 hours to get up your supply, in which case you would virtually need to feed, put down for a nap, feed etc. Or when you offer the bottle, pump for at least another 20mins afterwards, at first you may get almost nothing, but in a day or 2 the supply will increase & you should be able to reduce the bottle & hopefully drop it after 3-4 days.
Also the reason why your lo may take so long to settle is if you bf then bottle, you might be giving to much so he gets a belly ache (how much is a full bottle, a 5 week old should probably take about 100mls (3-4 oz) maximum & that would include your bf as well.