channel balances and a window lock

Thanks for reaching out to us! My recommendation is either the Series 380 or Series 385, depending on the depth of the bottom fitting. Measure as shown below to see which one is best for your repair. You will also need to refer to the stamp printed on the metal channel to determine the appropriate strength option.

Comparison of the S378, S380 and S385 balance shoes.

As for the lock, can you write out the distance between the two installation holes, measured from center to center?