Will losing weight and exercising help regulate my sleep patterns?

Perhaps. Losing weight can help with sleep apnea, exercise allows you to be more tired producing a more restful deeper sleep. If under 35 try calm's forte, a homeopathic medication for sleep. If over 35 you can try melatonin.
Adjust amino acids. If obesity caused the sleep apnea yes on the other hand if the sleep disturbance is due to other factors like lack of glutamine, tryptophan, vitamin b deficiency causing gall bladder sludge then no.