They are OK if you put a question mark after further.
Student or Learner
Are these sentences OK?
After much consideration I have decided to continue working at ABC Company after my two month break. Thank you for allowing me to take two months off work without pay. Can I book an appointment with you to discuss this further.Thank you for being such an understanding and supportive boss.
"Two-month break" should be a hypenated word. Or you say "two months' break".
not a teacher
Once you've added the question mark Mike told you about, you need to put a space before the next sentence.
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.