Hi Poorva,
For the latter question, if you know which gene you are interested in, I would just type its name or ID in the search box on the top right of the table in the index page. If there are LSVs it should show them. If you have used HET mode, you may need to try setting the p value confidence slider to min/max or reducing other thresholds if you still cannot see it. If there are truly no LSVs, it's possible to manually enter the gene_id in the url to see a gene with nothing interesting detected.
For the former question, there is a button to download the splicegraph as an SVG on the left side of each splicegraph:
You can also download the entire page as HTML by clicking the "floppy disk" icon in the upper right.
Let me know if this helps,
-San