GetSpellInfo(spellName) and GetSpellLink(spellName) only return information for spells
in your own spell book. This is a way to confirm you have actually learned a spell.
GetSpellInfo(spellID) and GetSpellLink(spellID) work always for any valid spellID -- although in your case this isn't helpful for what you are trying to do.
Since you are interested in Blingtron spells, you need to first get the spellID associated with the summoning spells. The simplest way is, honestly, to just look it up on popular database websites such as
Wowhead (q=blingtron#uncategorized-spells).
The spellID is in the url of each page on these sites. For example: