Site Hacked – Need Help

So, I think my site has been hacked. Someone mentioned it might be SQL Injection. Whatever it is it keeps crashing my server. I have installed security plugins, but they only seem to help a little. Here is a sample from my error log:

[Sat Oct 17 19:24:47 2015] [warn] [client 66.249.65.198] mod_fcgid: stderr: WordPress database error Can’t find FULLTEXT index matching the column list for query SELECT ID, post_title, post_content, post_type, MATCH (post_name, post_content) AGAINST (‘After Christmas 2014 Tablet Sales End of Year Deals Madness’) AS score FROM wp_posts WHERE MATCH (post_name, post_content) AGAINST (‘After Christmas 2014 Tablet Sales End of Year Deals Madness’) AND ID != ‘7214’ AND (post_status = ‘publish’) AND (post_status NOT IN (‘private’, ‘page’, ‘static’)) AND (post_type NOT IN (‘page’))ORDER BY score DESC LIMIT 5 made by require(‘wp-blog-header.php’), require_once(‘wp-includes/template-loader.php’), include(‘/themes/Venis/single.php’), get_template_part, locate_template, load_template, require(‘/themes/Venis/post-single.php’), the_content, apply_filters(‘the_content’), call_user_func_array, aizattos_related_posts_pop, aizattos_related_posts, W3_Db->query, W3_DbCache->query, W3_DbCallUnderlying->query, W3_Db->query, W3_DbProcessor->query, W3_Db->default_query
[Sat Oct 17 19:25:12 2015] [warn] [client 178.255.215.67] mod_fcgid: stderr: WordPress database error Got a packet bigger than ‘max_allowed_packet’ bytes for query UPDATE wp_options SET option_value = ‘a:5516:{s:32:\\”6666cd76f96956469e7be39d750cc7d9\\”;a:4:{i:0;s:14:\\”tuneintuit.net\\”;i:1;s:14:\\”www.mtj168.com\\”;i:2;s:14:\\”ukgreentea.com\\”;i:3;s:12:\\”www.r4ds.org\\”;}s:32:\\”7c12c5eaaeec11de9c3a808399a8b415\\”;a:4:{i:0;s:30:\\”https://www.electroaljarafe.com\\”;i:1;s:29:\\”www.motocyclefairingsshop.com\\”;i:2;s:21:\\”https://www.ir4sdhc.it\\”;i:3;s:30:\\”https://www.officielsiteici.com\\”;}s:32:\\”32f9eb6ea94d9145c711c4f98d02bece\\”;a:4:{i:0;s:28:\\”https://www.officialr43ds.com\\”;i:1;s:21:\\”https://www.hjx007.com\\”;i:2;s:30:\\”www.health-plan-directory.info\\”