I just got transferred from Ryerson University to Mcmaster University in Chemical Engineering. I got 25 credits in level I out of 37. I didn't get the credits for 1A00, 1C03, 1P03 and 1M03. Therefore, they are saying that in second year you will take 1A00, 1C03, 1P03, 1M03, CHEM 1AA3, MATH 2Z03, MATH 2ZZ3, and 4 liberal courses. My question is does Mcmaster offer level II first term courses in second term also? For example, CHEM ENG 2D04 is offeredin first term. My question is does is this course offered in the second term also? And do the second term courses offer in summer also?

I believe there a very few second year courses that are offered in both terms. CHEM ENG 2D04 is only offered in the first term.
Some courses are offered in the summer but not all of them. Some require ou to take them during the school year.

You can check the master timetable here: https://adweb.cis.mcmaster.ca /mtt/

If a course is only listed under first term, then that's the only time it's offered during the normal school year (Sept-Apr). Summer school courses are usually released around March, I believe.

For the most part, no engineering classes beyond first year are offered in the summer and are generally only offered in 1 term. The maths and 2P04 are the only exceptions I can think of for being offered in the summer.