Statement 1: ${\mathrm{E}}_{\mathrm{cell}}^{°}$ should have a positive value for galvanic cell to function.
Statement 2:  ${{\mathrm{E}}^{\circ }}_{\text{cathode }}<{{\mathrm{E}}^{\circ }}_{\text{anode }}$for a feasible reaction, with reference to SRP
 

Statement 1 is true but statement 2 is false. 

Feasibility of chemical reaction depends on Gibb's free energy which is related to ${\mathrm{E}}_{\text{cell }}^{\circ }\text{ as, }{\mathrm{\Delta G}}^{\circ }=-{\mathrm{nFE}}_{\text{cell }}^{\circ }$
When value of ${\mathrm{E}}_{\mathrm{cell}}^{\mathrm{o}}$ is positive then $∆{\mathrm{G}}^{\mathrm{o}}$ becomes negative. Hence, reaction becomes feasible.
Correct reason is  ${{\mathrm{E}}^{\circ }}_{\text{cathode }}>{{\mathrm{E}}^{\circ }}_{\text{anode }}$.