logwatch監視での邪魔なログについて

VPS上のCentOS7サーバーでlogwatch監視をしているのですが以下のようなログがきます。
問題あるログではないと思っているのですが、特に301・400・404のログが大量になってしまいます。
チェックの際に邪魔ではないかと思うのですが、みなさんどうされているでしょうか？

ざっとでも目を通すべきでしょうか？
しつこいIP等はファイアウォール等で拒否したりするものでしょうか？
でも、きりがないですよね？

尚、...の部分は内容を省略しています。

 --------------------- nginx Begin ------------------------ 

19.54 MB transferred in 8537 responses  (1xx 0, 2xx 477, 3xx 4076, 4xx 3981, 5xx 3) 
      17 Images (0.04 MB),
      72 Documents (0.17 MB),
       2 Sound files (0.00 MB),
      77 Windows executable files (0.17 MB),
    6650 Content pages (13.98 MB),
     699 Redirects (0.11 MB),
       2 Proxy Configuration Files (0.00 MB),
      63 Program source files (0.14 MB),
       2 Various Logs (0.00 MB),
      33 Configs (0.07 MB),
       3 mod_proxy requests (0.00 MB),
     917 Other (4.87 MB) 

 Attempts to use known hacks by 2 hosts were logged 511 time(s) from:
    xxx.xxx.xxx.xxx: 505 Time(s)
       passwd$ 174 Time(s) 
       /../../../ 314 Time(s) 
       ^null$ 7 Time(s) 
       boot.ini 8 Time(s) 
       win.ini 2 Time(s) 
    xxx.xxx.xxx.xxx: 6 Time(s)
       ^null$ 6 Time(s) 

 Connection attempts using mod_proxy:
    xxx.xxx.xxx.xxx -> www.xxx.com:443: 1 Time(s)
    xxx.xxx.xxx.xxx -> www.xxx.com:443: 1 Time(s)

 A total of 2 sites probed the server 
    xxx.xxx.xxx.xxx
    xxx.xxx.xxx.xxx

 A total of 214 possible successful probes were detected (the following URLs
 contain strings that match one or more of a listing of strings that
 indicate a possible exploit):

    ... HTTP Response 301 

 Requests with error response codes
    400 Bad Request
       ...
    404 Not Found
       ...
    405 Method Not Allowed
       ...
    411 Length Required
       ...
    505 HTTP Version Not Supported
       ...

 A total of 1 ROBOTS were logged 
    - 30 Time(s) 

 ---------------------- nginx End ------------------------- 


 --------------------- SSHD Begin ------------------------ 


 Didn't receive an ident from these IPs:
    xxx.xxx.xxx.xxx port 44277: 1 Time(s)

 Illegal users from:
    undef: 1 time
       oracle [preauth]: 1 time
    xxx.xxx.xxx.xxx (xxx.com): 7 times
       oracle: 7 times


 Received disconnect:
    11: Normal Shutdown, Thank you for playing [preauth]
       xxx.xxx.xxx.xxx : 7 Time(s)

 ---------------------- SSHD End -------------------------