I am checking my website on mxtoolbox.com and getting some DNS errors. Two of those errors say "DNS Record not found". One has dmarc as category and the other is category spf.
My questions:
My website is http://www.zilvertron.com
Thanks for your time!
No, neither of those things will directly hurt your website, though they may cause you problems with sending email if the recipients score harshly in any spam management application.
There is some info on DMARC here and some info about spf here They are both used to help validate that messages are 'allowed' to be send from your domain & hosts and that your domain is who it says it is.
If you wanted to fix/add the records you need to have a look in your dns providers control panel and see what options they support, and how to implement them. Spf is easy - it's just a text record, DMARC/DKIM requires a bit more setup.