Applying for a patent is not bound by previous patents, of course, you can apply.
Patent infringement must meet several conditions at the same time: 1, his patent is valid (authorized and paid the annual fee), 2, the production and business operation activities for profit (experiments, scientific research and personal use are not infringing), 3, the products produced or the methods used belong to the scope of his patent claim (not in the specification, but in the claim, which should be carefully checked), and 4, there is no other exemption.
The patent itself will not infringe, but only the production of products or the production of products by patented methods will infringe. Whether you infringe can be checked one by one.