Welcome to the forum , brysondixon .
Nice rustic tea pot , IMO .
As ironlord1963 mentioned , it also appears (to me) that the current handle is a later replacement item .
I'd guess that it was modeled after the original , esp due to the fact that the front bail (by the spout) is notched to 'hold' the spout while pouring tea .
These types of handles were sometimes made of bamboo , wood , metal or clay & generally had some 'slop' in their action (commonly wood-pegged , as yours is) .
There are several companies , in China , who currently produce tea pots very similar in design to yours (indicating that it's a 'workable' design) .
I do think quite a bit more patina would be present (as well as a more 'finished' appearance) , were this handle the original one - just think of all the times this unit was hand-washed & dried , for example .
The amount of 'crazing' in the glaze of your tea pot is a bit of an indicator that the little fella has had plenty of hot liquids , most prob. served by loving hands , for many years .
I do believe that the other item you've posted is a tea jar .
I'd speculate that the tea pot was made from the early-to-mid 1900's (not 100% for sure on this) ; I also guess that the tea jar is newer than your tea pot .