I'm also using AIOSEO with 2.7 without a problem. Sounds like your error when attempting to activate AIOSEO is most likely due to incompatibility with another one of your plugins that is also calling the pclzip libraries.
Try deactivating all your plugins (except for Akismet if you're using it) and then activate AIOSEO. If it activates with no problem then reactivate your other plugins one by one. When you activate the conflicting plugin you should get another error. Basic troubleshooting and all that.
WP-Sticky is no longer needed since the function is already built into 2.7 (in the publishing module in TinyMCE and the "Quick Edit" feature for posts.
For Twitme, check the 2.7 plugin compatibility list to see if it's listed and what the problem might be and there also might be similar compatible plugin listed there as well. I know there are other similar plugins for Twitter that are compatible with 2.7. Use 2.7's "Add New" feature under "Plugins" to search one out.