Which among the following carbocations has the maximum stability?

The hybridization of the positively charged carbon and the negatively charged carbon in the following structures are respectively:

Which of the following is the most stable carbanion?

The reaction of methyltrichloroacetate $(Cl_{3}CCO_{2}Me)$ with sodium methoxide $(NaOMe)$ generates

Which of the following is more stable than the remaining three?

Given below are two statements:
Statement $I$: $(CH_3)_3C^{+}$ is more stable than $CH_3^{+}$ as nine hyperconjugation interactions are possible in $(CH_3)_3C^{+}$.
Statement $II$: $CH_3^{+}$ is less stable than $(CH_3)_3C^{+}$ as only three hyperconjugation interactions are possible in $CH_3^{+}$.
In the light of the above statements, choose the correct answer from the options given below.