This is an initial attempt to improve your answer. First eliminate errors in the first three lines, and focus on a small t
range
Clear[x];
r = 1;
sol = NDSolve[{Derivative[1][x][t] - 1 - r*x[t] - x[t]^2 == 0,
x[0] == 0}, x, {t, 0, 1}]
Plot[Evaluate[x[t] /. sol], {t, 0, 3}]
ParametricPlot[Evaluate[{x[t], Derivative[1][x][t]} /. sol], {t, 0, 3}]
First plot shown here.