Assuming the bottle isnt cracked, when you put the new cap on use teflon tape around the tread and it will help ensure a tight seal. If you haver the time Id also flush the system with actual radiator flush, then when refilling use one gallon of concentrate, then one gallon of 50/50 and add a antirust additive. Did miracles on my '88 with a 195*F tstat.
If you have alot of time you could always pull the water pump and rent a pressure washer and spray out the block and head, then do what I said above.
And removing the rear coolant temp sensor is how to properly burp. Also the clossed systems are pressurized. So fill the coolant bottle until it over flows, put the cap on, burp the system, then refill the bottle of the missing coolant, warm up, let cool, add more, and youre done.