Mechanical Engineering
If you are doing Polytechnic then after this you can take the admission in direct second year It is a good choice so I would suggest you to continue it.
You can take admission through GATE in Aerospace engineering and you can opt for specialization like
Aerodynamics
Thermodynamics/Propulsion
Aero-structures
Control and simulation
All the Best!!
You should choose the branch according to your interest and passion. All the branches are good and have good scope in future in terms of job and placements.
If we compare all these branches in terms of placement and in which you can get highest package then you can go
Though its a month late you can always catch with the syllabus if you take out enough time daily for the revision. So whatever you study in your college you can revise that regularly and separate hours should be allocated to previous syllabus that has been missed. Once you revise
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