Google is more ban-happy when you're using advanced operators like link: inurl: site: etc Looks like you're getting banned when using link: searches, which come from competitor analysis. I'd recommend disabling the 'Analyse and post to competitor backlinks' checkbox in your project options.
Looking at your second screenshot, you aren't using proxies at all. You need to check the checkbox next to 'Private' if you want to use your private proxies.
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Looks like you're getting banned when using link: searches, which come from competitor analysis. I'd recommend disabling the 'Analyse and post to competitor backlinks' checkbox in your project options.