Since they advertised this train a lot for the Dudhsagar Halt, they could try the following changes -
1 - Run it on Saturday and Sunday instead of Friday and Saturday - More coverage for the weekend visitors.
2- Run it with the reverse timings - Start from Belgaum in the morning and return from VSG in the late afternoon. This would also make it as a connecting train to VSG for people arriving from SBC/TPTY by Rani Chennamma and Haripriya expresses.
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in the day, when people were allowed to walk along the tracks to Dudhsagar, a large number of people used to come to Londa by Rani Chennamma in the mornings and then take whichver train was available to reach Castle Rock or Caranzol, from where they would hike to the falls along the track. In the return, people would board the Goa express which had an operational halt at Dudhsagar station. The station used to be quite crowded in the evenings.
It may not be good enough to improve the patronization for this train, but will definitely be better than the existing arrangement.

I agree with your second point and had in fact mentioned it in a blog post during this trains inauguration. I said they should add link coaches to this train to help ppl with onward connection to SBC and back.
The priority of this train should be serving the people of BGM and Goa not tourism.
I wouldn't not promote Dudhsagar tourism in this manner. This could lead to haphazard acts by tourists which could endanger their and other's life. Those who want to see Dudhsagar should use jeeps available at the foot...
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hills. Allowing people to alight and board at DDS will tempt people to indulge in risque selfies, walking along tracks, travelling on the engines of goods trains, etc. This can be dangerous. The railways had launched a serious crack down on the above activities a few years ago but this passenger train tries to encourage the same.
There should be responsible tourism. DDS station exists as a halt for trains to check their brakes allowing them to cool when heading downhill. but now people want to use it as a cheap way to check out the waterfall as the jeep operators charge a fortune. The monsoons is a risky time for such activities but still there will dozens on the track clicking pictures.