  We construct Salem sets on the real line with endpoint Fourier decay and
near-endpoint regularity properties. This complements a result of \L aba and
Pramanik, who obtained near-endpoint Fourier decay and endpoint regularity
properties. We then modify the construction to extend a theorem of Hambrook and
\L aba to show sharpness of the $L^2$-Fourier restriction estimate by
Mockenhaupt and Bak-Seeger, including the case where the Hausdorff and Fourier
dimension do not coincide.
