Yes! Use the definition of "equivalence relation"!

1) For all x, xEx which is true if and only if xRx and xRx. How do you know those are true?

2) For all x, y, if xEy then yEx. If yEx then xRyandyRx. Does it follow that yEx?

3) for all x, y, z, if xEy and yEz then xEz. If xEy and yEz then xRy and yRx, yRz and yRz. Does it follow that xRz and zRx?