I have scored 351/500, can I get admission in B.A. Programme in general category?

First of all, you have not mentioned a particular college name so it is difficult to provide the correct information. However, 351 marks in CUET UG is a very good score in the general category. The duration of the course is 3 years. With these marks, you may get into these colleges for the B.A. Pro

Yes, why not but you must show our talent in Ist semester.

If you want to pursue Honor programme, you must secure 90 above as a general. For other programs you require percentage between 80 to 90, that also in last cut off.

No, because your Marks are low according to the general category. And in this category the requirements of Mark's are high to take admission. But you can apply in any off the another private colleges.