Somnath - Nageshwar Visit

I am from Navi Mumbai and Planning to visit Somnath and Nageshwar Jyotirlinga.

Can somebody suggest me plan. Its my first time Solo trip.

This is what I came up with till now

5th Dec board from BDTS 1:40PM 6th Dec reacg to Veraval 7:10AM

Visit Hostel Go to Somnath Visit near by places

6th Dec 11:05PM board from Veraval 7th Dec 7:01AM reach Dwarka

Visit Hostel Go to Dwarkadhish Mandir Go to Rukmini Devi Mandir Go to Surya Mandir Go to Nageshwar

Go back to Hostel

8th Dec 11:44AM board from Dwarka 9th Dec 4:55AM reach Mumbai Central

Can someone suggest better plan or any changes which will be more efficient.