OK. I'm not totally clear myself, but here's some info that should help.
When a client sends a web request, that request targets a specific domain host and port. For example, www.coderanch.com:8080. "Normal" URLs don't specify the port, since it's assumed based on the protocol (80 for http, 443 for https, and so forth).
What I think you are actually looking to do is use one Apache HTTP server to front both a WebLogic Domain and 2 Tomcat webapps. The WebLogic webapps run under the WebLogic Domain, and the apache weblogic module is (I think) designed to facilitate that. Basically, the WebLogic Domain is a cluster, where the request comes into Apache, is then routed to the WLD (WebLogic Domain), and the WLD then passes it on to one of the WebLogic servers in the WLD (cluster). Tomcat doesn't figure into that process.
J2EE web applications are architected with the idea that a single J2EE server can host multiple unrelated web applications (WARs or EARs). To facilitate this, a URL destined for a J2EE server thus contains additional information that tells the J2EE server which webapp will actually receive and process the incoming URL request. This is known as the "context name", and in your case, the context names are "altaircand" and "altairetab". Thus, they are either dropped in under those WAR names into Tomcat OR they are deployed using a Tomcat Context descriptor that associates the actual WAR with those context names.
Actually, I think your real context names are "cand" and "retab", but I'd have to refresh my memory on JkMount (I use mod_proxy).
Regardless, Apache is your front end, so what you want to do is configure its URL rewriting and proxying rules so that when URL "X" comes in, it gets properly tunneled over to the appropriate Tomcat webapp "Y". Apache is very flexible on this, so you can pretty much choose any scheme you want as long as you have no ambiguities in the translation process that would make it difficult for Apache to figure out where to route the request.
Given all that, what looks like your major problem is that you are using SetHandler to route /altaircand and /alteretab URLS to WebLogic servers. You wouldn't do that if you want those contexts to route to Tomcat. A simple JkMount is all that would be required.
If you are doing a mix-and-match (for example, Tomcat app, but getting static content such as CSS and JavaScript from WebLogic) then you'd need to further refine the URL mappings in
Tomcat Apache so that the URL will route properly depending on its intended target. For sanity's sake, it's probably a good idea to not use the same basic context name for both Tomcat and WebLogic apps.
Also, if you do want to draw static resources from somewhere other than Tomcat, it's actually probably better to put them under direct management by Apache itself, not WebLogic. That way you can define them site-wide in a consistent manner for all apps, regardless of the actual backend server. Plus the overhead is almost certainly going to be less.
And just in case someone in the shop hasn't received the
word yet, the old rule that Tomcat isn't a good server for static content has been untrue for probably more than 10 years now.