The Hubble Space Telescope Quasar Absorption Line Key Project. VII. Absorption Systems at Z abs <= 1.3

We present evidence that clumps of \lya lines are physically associated with about half of the extensive metal-line systems (absorption systems with four or more observed metal-line species) found in this paper, demonstrate that all four \lylimit systems discussed here correspond to extensive metal-line absorption systems, and present an extraordinary pair of extensive metal-line absorption systems within 2000~km/s of each other at $z~=~0.95$ that are probably an early manifestation of large scale structure. These results are obtained using ultraviolet spectra, taken with the higher-resolution gratings of the Faint Object Spectrograph of the Hubble Space Telescope, for four quasars with emission-line redshifts between 1.0 and 1.3. We also determine the evolution of \lya absorption lines at redshifts less than 1.3 by combining the results for 13 smaller redshift quasars discussed in Paper I of this series with the 4 moderate redshift quasars analyzed in the present paper. For $z_{\rm abs}~\leq~1.3$, the density of \lya lines with equivalent widths greater than 0.24~\AA\ is adequately fit by $\left(dN/dz\right) =\left(dN/dz\right)_0 \cdot(1 + z)^\gamma$ with $(dN/dz)_0 = 24.3 \pm 6.6$ \lya lines per unit redshift, and $\gamma = 0.58 \pm 0.50$ (1-$\sigma$ uncertainties). This rate of evolution at low redshifts is less than the evolutionary rate inferred from several different ground-based data samples that pertain to high redshifts. The observed gaseous structures at redshifts of $0.5$ to $1.0$ with velocity dispersions of $6 \times 10^2$ \kms to $1.4 \times 10^3$ \kms (or velocity spans of $1.2 \times 10^3$ \kms to $3 \times 10^3$ \kms) constitute a constraint on cosmological models of structure formation.