Yes, there are studies to support all of the claims made in the article.

Spirulina is an effective accumulator of toxins, especially heavy metals. Here is a recent study supporting this:

Spirulina platensis as renewable accumulator for heavy metals accumulation from multi-element…

Oil pulling has a huge effect on reducing bacteria in the mouth and reducing systemic inflammation, as cited in the article. There are more studies here if you want to read them:

Effect of oil-pulling on dental caries causing bacteria

Effect of oil pulling on halitosis and microorganisms causing halitosis: A randomized controlled…

The following article states numerous benefits of heat therapy:

• “The minerals sodium, potassium, magnesium, and chloride are all excreted via sweat,14 along with iron15 and chromium.
• Sodium and chloride have the greatest losses (155 and 137 meq, respectively), while magnesium and potassium are excreted in much lower quantities (13 and 16 meq, respectively).
• • Copper and zinc are released in high amounts in sweat (avg. for copper 550 µg/L for males and1480 µg/L for females; for zinc 500/1250 for males and females, respectively).
• Dermally absorbed lead was released in both sweat and saliva.”

There were multiple pages in this article listing which toxic substances are removed from the body via sweat.