Keep in mind that everything listed here is potentially problematic, not necessarily problematic. For instance, you could have something like Drug Therapy listed as a 'miscapitalized' variation of Drug therapy. The solution is to create the article if the journal passes WP:NJOURNALS, or live with the redlink being listed (not every such journal will be notable). No citation need to be updated in this case. Likewise, January Magazine matches the pattern for the month of January, which is designed to pick up things like |journal=Journal of Physics, 3 January 2013 rather than actual publications with 'January' in their titles. Use your judgement, fix actual issues these lists found, and ignore whatever false positives is contained in them.
The invalid titles page lists citations whose name is not a valid Wikipedia page title. This means the name contains characters that are not valid if the citation name was to be linked. While there are a number of characters not supported in Wikipedia page names, one of the most common is that the citation contains a # symbol because the issue number is included with the citation name and not properly included in the |issue= field of the citation template.