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What size(girth) screws and which plugs? Adding more battens will likely be hard to get exactly in the right spot to properly distribute the load. If you have them too high, it will want to lift off the top battens. Too low, it will pull down more on the top ones. I would have thought you'd be fine. I've seen kitchen units that hold (far too much) crockery hung by less. But then, @Bobbo could likely weight in and tell me I'm talking bollocks, which I'm fine with.
3 batons of 20mm x 30mm each with 3 50mm screws through into rawl plugs in a brick wall
Shelves. Pine, 20mm thick boards, 130mm deep. I could probably weigh it. Will be used for glass jars filled with dry goods.
Is it going to collapse? Should I add more batons underneath one of the lower shelves?