All I have right now is letter of intent - Can I show this as a part of employment in the resume?

also have given interviews at many places, didn't get selected though(my fault) but determined to move forward with motivation now.

It's OK for now. Settle it with your previous Co. Send your formal letter, post it by RPAD, get their ackmt.as well as a relieving letter. Submit Co properties in your possession, if any. Also, Request them in writing to settle your salary for other months as well. I don't think any other dues. You are not likely to get any credit of EL/PL, may be you can include that also in your claim as 'encashment'. If they will pay you good, otherwise leave it. Close it fully in the manner required. Better include this spell of service in your CV also. This is required very much as most of your interview questions likely to include how about the gap between end-March & till now. You need not be hesitant to say 'Covid-19 Lockdown effect' and resigned. Meantime improve your knowhow so that you can be counted among the strong contenders for new offers. Don't bother about what happened, the world is not going to be like this forever. Good days beckoning you. All the very best.

Thank you so much sir for all your guidance. You are like a mentor now, wherever I join now, will seek your advice. Thanks you once again. Stay blessed and keep smiling :)

Fine. Keep in touch with citeHR, it will provide ample opportunity to know various aspects and seek the advice of many learned members ready to guide & help you 'free' in times of need. Keep going. Best wishes.

Thank you Sir. Would like to inform that I have got a new job as HRBP for setting up a new business for an existing company along with the Head HR. Thank you once again. Keep smiling and stay blessed :) Moreover they have accepted my soft copy of offer letter and resignation email.

GGGreat Sumit, go rock it out on your new assignment. Responsibilities for a New business always going to be challenging and rewarding as well. Take care of complete documentation & policy framework. You'll have enough freedom to plan & establish, of course at short notice. Heartening to note that they accepted your soft copies. Good days are ahead. Any professional suggestions, you can rely upon citeHR. All the best.

Dear All,
Once again thank you for all your help and support. My new job is going great and also no objections on the copies of documents submitted ie email soft copy
Regards,
Sumit Panwar

All the best Sumit, keep it up. Take care.