26일 2월 2017년 2017년 2월 26일 (Koreans typically use different dating order, 'Year' first, 'Month' second and 'Day' last)

알 호에 갈거예요. (I'm not quite sure what you meant by '알 호' here sorry. Please feel free to send me a description of the word. I would be happy to help you)

내(우리; Korean like to use word 'us (우리)' even though it's 'my (내),' strictly speaking) 학생(들; unless you are teaching only one student)이 보고싶어요.

영어하고 수학(을) 가르치기도 해요(가르쳐요).('가르치기도 해요,' to me, means 'I'm not a teacher, BUT I can also teach English and Math. If you had mentioned you are, for example, a Science teacher, then it would have make more sense and it natural. As you already mentioned you have a student/students, I, as a listener, would know one is teaching something, so if one tries to describe what he/she teaches, '가르쳐요 (teach)' sounds more natural than '가르치기도 해요 (also teach ... (this, this and this)...)'

오늘밤 숙제를 해요할거예요.('오늘밤 숙제를 해요' is 'I do homework tonight.' 'Tonight(오늘밤)' describes very specific time and typically a time of future. The verb 'do(해요)' is a present tense, so it sounds unnatural. '할거에요(will do)' is more natural as all tenses being more in tandem).

내일은 대학교에 갈거예요.
지금 가야 해요. 열심히 공부해요하세요 or 할거예요 ㅠㅠ (Like mentioned earlier, '해요 (do)' is unnatural here as '열심히 공부해요' means more like '(I) study hard (저는 열심히 공부해요).' Unless it was what original meaning, '열심히 공부하세요 = (You) study hard!' or '열심히 공부할거에요 = I will study hard' sound more natural.)

Nice work. All of my corrections are suggestions to more it simply more natural, as the original post was really good enough to convey the perfect original meaning, except just a couple minors (e.g. 해요). Please feel free to ask me if you need any clarification or have any follow-up questions.