I'd put in a tile backsplash. Stick with a solid color tile so your bottles won't get visually lost. Solid color doesn't have to be boring, look for interesting shapes or textures, and play around with different colors of grout to make a statement. The one in your picture looks very similar to the 2nd picture below.

The backsplash near the hob should preferably not be glass as the heat produced near the stove causes the glass to break due to continuous heating and cooling which makes the glass crack over a few months... Pavithra Praveen Pravisree Kitchens Bangalore

Mukti, From what you described, it seems you need a water softener than a hydrophobic coating. Salt based softeners are good for these issues.

You could go for tiles with design if they are simple ones. if you want plain, you can add some life in the country style with an exposed brick facade or subway tiles. for colours, it depends on how far out of your comfort zone you're willing to go. white is the safe choice, but you can go for blue, green, yellow, all pastel hues