Resubmitted paper is rejected by editor after two months, what should I do?
The editor's comments clearly point to three things:
1. The manuscript lacks a clear statement of its aims and motivation
2. The manuscript is too long even after revision
3. There are grammatical errors in the manuscript

Regarding the second and third points, I think getting the manuscript professionally edited might be a good solution. However, regarding the first point, for a study to have reasonable impact, its aims and motivations need to be clear. You can perhaps do some rethinking around this point and take your supervisor's guidance to make these aspects clearer.

Now let's come to your questions.


Timelines and procedures are not uniform across journals, and it is not uncommon for a manuscript to be rejected without any reviewer comments after two months, particularly, since, it looks like the paper wasn't sent for review a second time. However, you can write a polite email to the editor requesting him/her to send you the reviewer comments if any.
I think the editor has made it amply clear that the paper is not suitable for publication in the journal. I personally feel it would be better to submit the paper to another journal, but if you are very keen on this journal, there is no harm in writing to the editor inquiring if he/she would be willing to take another look at it after it is professionally edited to reduce the length and fix the grammatical errors. You should also inform him/her that you will rework on the aims and motivations to make them clearer. Regarding how much of a chance you have, I am really not sure; depends on the editor. 
I don't think the editor doesn't like the manuscript at all: he/she has probably seen some merit in it; else you would not have received the revise and resubmit decision the first time. However, the editor is clearly not very satisfied with the revisions. You should actually have taken care of the length and grammatical errors at the time of the revision. That would definitely have given you a better chance.


One word of advice: even if you submit to another journal, make sure you get the grammatical errors corrected before you do so.