Brah, you did not just say that.
First, if by "very weak acid" you mean weaker than water, then you're wrong.
Second, F- is not a strong base.
Third, elemental fluorine has a relatively low electron affinity due to its great charge density. Fluorine actually breaks the trend of electron affinity.
Fourth, Coulomb's law, are you really gonna apply the concept of electron affinity to a charge dense anion such as the fluorine anion? Last time I checked, opposites attract, and ... non-opposites ... don't attract ... unless you're Macklemore. In other words, the fluorine anion is not going to be attracted to electrons because 1) it's already isoelectronic with a noble gas and 2) it has a high negative charge density.
Fifth, why are we even talking about electrons here? Last time I checked, we were talking about the Bronsted-Lowry definition of acids. If anything we should be talking about proton affinity.
Sixth, you got that reversed. By nature of its electronegative nature, the fluorine in HF gives the H a partial positive charge, and this makes the hydrogen atom in HF electrophilic and thus reactive.
Seventh, Cl- doesn't have a H+ to give away.
Eigth, I hope you get some perspective from this.