hello and welcome to HCM,
The whitish lumps are called the tonsillolith
or tonsil stones which are collections over and inside the tonsils in areas called the crypts.These are harmless and self limiting which gets better over time with medications and general measures.
However if the symptoms are recurring and since you are getting recurrent such lesions it is advisable that you consult an ENT who may advice treatment which can be in the lines of medication or even removal of tonsil which can cure the problem
get well soon
take only warm fluids and do salt water gargle
Dr Sriram Nathan